Draw a triangle ABC with BC = 6 cm, AB = 5 cm and ∠ ABC = 60°. Then construct a triangle whose sides are 3/4 of the corresponding sides of the ∆ ABC.

∆ BED is the required triangle.

• STEPS OF CONSTRUCTION

1) Construct BC = 6cm

2) Construct an ∠ ABC of 60° at B. And, mark AB such that AB = 5cm

3) Join A and C to get the first ∆ ABC

4) Now, mark point D on BC such that BD = 4.5 cm i.e. of BC. Similarly, mark E on AB such that BE = 3.75 cm i.e. of AB

6) Join E and D to get the required ∆ BED.

(Note that ED = of AC since ∆ BED ∆ BAC by SAS rule)